We look at the division of 677667 by 81 
We want to figure out the number of times 677667 can be divided by 81.

Advancing to step 1:
If we divide 6 by 81, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 81

Step 2:
The number 81 fits into 67 0 times, leaving a remainder of 67.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 67 and we're left with 67.
Grab the next digit (7) from the dividend, add it to 67, then carry on: 677 / 81

Step 3:
If we divide 677 by 81, we get 8 and a remainder of 29.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
Deduct 648 from 677 and we're left with 29.
Take the next digit (6) from the dividend and append it to 29, then repeat: 296 / 81

On to step 4:
The number 81 fits into 296 3 times, leaving a remainder of 53.
Use 3 as the next digit of our solution. 
Result so far: 83.0
Deduct 243 from 296 and we're left with 53.
Take the next digit (6) from the dividend and append it to 53, then repeat: 536 / 81

Let's proceed to step 5:
81 goes into 536 6 times with a remainder of 50.
The number 6 becomes the next digit in our result. 
Result so far: 836.0
If we take 486 away from 536, we end up with 50.
Append the next digit (7) from the dividend to 50 and continue with: 507 / 81

Going ahead to step 6:
81 can be fit into 507 6 times, resulting in a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 8366.0
Deduct 486 from 507 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Going ahead to step 7:
210 divided by 81 is 2 with a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 8366.2
The remainder is 48 after subtracting 162 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Advancing to step 8:
The number 81 fits into 480 5 times, leaving a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 8366.25
The remainder is 75 after subtracting 405 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 9:
81 can be fit into 750 9 times, resulting in a remainder of 21.
The number 9 becomes the next digit in our result. 
Result so far: 8366.259
If we take 729 away from 750, we end up with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Advancing to step 10:
If we divide 210 by 81, we get 2 and a remainder of 48.
The next digit of our result is 2. 
Result so far: 8366.2592
If we subtract 162 from 210, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Step 11:
The number 81 fits into 480 5 times, leaving a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 8366.25925
Deduct 405 from 480 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Step 12:
81 goes into 750 9 times with a remainder of 21.
Record the quotient 9 as the next digit in the result. 
Result so far: 8366.259259
The remainder is 21 after subtracting 729 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 13:
81 can be fit into 210 2 times, resulting in a remainder of 48.
Put 2 as the next digit of the answer. 
Result so far: 8366.2592592
Subtract 162 from 210 to get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 14:
81 goes into 480 5 times with a remainder of 75.
The next digit of our result is 5. 
Result so far: 8366.25925925
If we take 405 away from 480, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Our division results in 8366.25925925 with a remaining 7.5e-08.